Simplify (m/n*n/p)÷(p/q)

$\frac{m}{n} \cdot \frac{n}{p} \div \frac{p}{q}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{m}{n} \cdot \frac{n}{p} \frac{q}{p}$

Step 2

Cancel the common factor of $n$ .

Cancel the common factor.

$\frac{m}{n} \cdot \frac{n}{p} \frac{q}{p}$

Rewrite the expression.

$m \cdot \frac{1}{p} \frac{q}{p}$

Step 3

Combine $m$ and $\frac{1}{p}$ .

$\frac{m}{p} \cdot \frac{q}{p}$

Step 4

Multiply $\frac{m}{p} \cdot \frac{q}{p}$ .

Multiply $\frac{m}{p}$ by $\frac{q}{p}$ .

$\frac{m q}{p \cdot p}$

Raise $p$ to the power of $1$ .

$\frac{m q}{p^{1} p}$

Raise $p$ to the power of $1$ .

$\frac{m q}{p^{1} p^{1}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{m q}{p^{1 + 1}}$

Add $1$ and $1$ .

$\frac{m q}{p^{2}}$